What is laplacetransform 25t ?

The answer to laplacetransform 25t is (25)/(s^2)

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laplacetransform 25t

laplace transform

25 t

\frac{25}{s ^{2}}

Solution steps

L {25 t}

Use the constant multiplication property of Laplace Transform:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= 25 L {t}

L {t} : \frac{1}{s ^{2}}

= 25 \cdot \frac{1}{s ^{2}}

Refine

25 \frac{1}{s ^{2}} : \frac{25}{s ^{2}}

= \frac{25}{s ^{2}}

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